135092345356800 has 3360 divisors, whose sum is σ = 578425201698960. Its totient is φ = 30958682112000.

The previous prime is 135092345356799. The next prime is 135092345356849. The reversal of 135092345356800 is 8653543290531.

135092345356800 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 9 + 23 + 4 + 53 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1321469800704 + 133770875556096 = 1149552^2 + 11565936^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 224779276500 + ... + 224779277100.

Almost surely, 2^{135092345356800} is an apocalyptic number.

135092345356800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135092345356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289212600849480).

135092345356800 is an abundant number, since it is smaller than the sum of its proper divisors (443332856342160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135092345356800 is a wasteful number, since it uses less digits than its factorization.

135092345356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 135092345356800 in words is "one hundred thirty-five trillion, ninety-two billion, three hundred forty-five million, three hundred fifty-six thousand, eight hundred".